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finlep [7]
3 years ago
15

At the time this question was written, one US Dollar equaled 0.88 Euros. What would 50 Euros equal in US Dollars? Round your ans

wer to the nearest cent.
Mathematics
1 answer:
KengaRu [80]3 years ago
8 0

Answer:

$56.82 US dollars

Step-by-step explanation:

Set up a proportion where x is how many US dollars there are in 50 Euros:

\frac{1}{0.88} = \frac{x}{50}

Cross multiply and solve for x:

0.88x = 50

x = 56.82

So, 50 Euros is approximately equal to $56.82 US dollars

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Yes this is correct.
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An electronic device factory is studying the length of life of the electronic components they produced. The manager selects two
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Answer:

The confidence interval will be given by:

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Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In the context of this problems:

It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation s = \frac{1000}{\sqrt{500}} = 44.72

To build the confidence interval:

The confidence interval for the average length of life of the electronic components they produced will be given by:

200000 \pm 44.72z, in which z is related to the confidence level.

For a confidence level of x%, z is the value in the z-table that has a pvalue of 1 - \frac{1 - z}{2}

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Step-by-step explanation:

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